Vlavov and Poisson equations in the context of self-gravitating systems

Abstract : We present Vlasov's equation and its association with Poisson's equation in the context of modelling self-gravitating systems such as Globular Clusters or Galaxies. We first review the classical hypotheses of the model. We continue with a presentation of the Hamilton-Morrison structure of Vlasov's equation to study the equilibrium and the stability of self-gravitating systems. Finally, we present some preliminary results concerning some properties of the time dependent solutions of the Vlasov-Poisson system.
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Submitted on : Thursday, April 24, 2014 - 4:53:57 PM
Last modification on : Wednesday, July 3, 2019 - 10:48:04 AM

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Jérôme Perez. Vlavov and Poisson equations in the context of self-gravitating systems. Transport Theory and Statistical Physics, Taylor & Francis, 2004, 34 (3), pp. 91-106. ⟨hal-00983058⟩

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